(a-5)(a+5)=0

Solution for (a-5)(a+5)=0 equation:

Simplifying
(a + -5)(a + 5) = 0

Reorder the terms:
(-5 + a)(a + 5) = 0

Reorder the terms:
(-5 + a)(5 + a) = 0

Multiply (-5 + a) * (5 + a)
(-5(5 + a) + a(5 + a)) = 0
((5 * -5 + a * -5) + a(5 + a)) = 0
((-25 + -5a) + a(5 + a)) = 0
(-25 + -5a + (5 * a + a * a)) = 0
(-25 + -5a + (5a + a2)) = 0

Combine like terms: -5a + 5a = 0
(-25 + 0 + a2) = 0
(-25 + a2) = 0

Solving
-25 + a2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + a2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + a2 = 0 + 25
a2 = 0 + 25

Combine like terms: 0 + 25 = 25
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}